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Finding the Fourth Proportional to 191.79, 262.55 and 190.42

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Solution

The fourth proportional to 191.79, 262.55 and 190.42 is: 260.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.79 : 262.55 = 190.42 : x
  2. Step 2: Convert to fraction form
    191.79/262.55 = 190.42/x
  3. Step 3: Cross multiply
    191.79x = 262.55 × 190.42
  4. Step 4: Simplify right side
    191.79x = 49,994.59
  5. Step 5: Solve for x
    x = 49,994.59/191.79
  6. Step 6: Final answer
    x = 260.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.